Definition 2.6.3 (Parabolic tensor product, cf. [1]}) 

Let \(\tau : X - D \rightarrow X\)  denote the inclusion.
Suppose \(E_\star , F_\star \)  are both parabolic modules so that each \(F_\alpha \) 
and \(E_\alpha \)  is locally free,
define \((E_\star \otimes F_\star )_\alpha := \sum _{\alpha _1 + \alpha _2 =\alpha } E_{\alpha _1} \otimes F_{\alpha _2}\) , viewed as a subbundle of
\(\tau _* \tau ^*(E \otimes F)\) . We take \(i^{\alpha ,\beta }_{E_\star \otimes F_\star }\)  to be the natural inclusion map.

